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Instability Zones in the Dynamics of a Quantum Mechanical Quasiperiodic Parametric Oscillator
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-09-15 , DOI: 10.1016/j.cnsns.2020.105537
Subhadip Biswas , Pratyusha Chowdhury , Jayanta K Bhattacharjee

Quasiperiodically driven quantum parametric oscillators have been the subject of several recent investigations. Here we show that for such oscillators, the instability zones of the mean position and variance (alternatively the mean energy) for a time developing wave packet are identical for the strongest resonance in the three-dimensional parameter space of the quasiperiodic modulation as it is for the two-dimensional parameter space of the periodic modulations.



中文翻译:

量子力学准周期参数振荡器动力学中的不稳定性区

准周期性驱动的量子参量振荡器已经成为近期研究的主题。在这里,我们表明,对于此类振荡器,准时变调制的三维参数空间中最强谐振的时间发展波包的平均位置和方差(或者平均能量)的不稳定性区域相同。周期调制的二维参数空间。

更新日期:2020-09-15
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